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Finding the Fourth Proportional to 257,696.12, 355,620.30 and 144,517.88

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Solution

The fourth proportional to 257,696.12, 355,620.30 and 144,517.88 is: 199,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,696.12 : 355,620.30 = 144,517.88 : x
  2. Step 2: Convert to fraction form
    257,696.12/355,620.30 = 144,517.88/x
  3. Step 3: Cross multiply
    257,696.12x = 355,620.30 × 144,517.88
  4. Step 4: Simplify right side
    257,696.12x = 51,393,491,840.96
  5. Step 5: Solve for x
    x = 51,393,491,840.96/257,696.12
  6. Step 6: Final answer
    x = 199,434.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.